Geared toward advanced undergraduates and graduate students, this substantially revised and updated edition of a popular text offers a concise treatment that provides careful and complete explanations as well as numerous problems and solutions. Topics include elementary theory, general Cauchy theorem and applications, analytic functions, and prime number theorem.
This book has been written for a first course in probability and was developed from lectures given at the University of Illinois during the last five years. Most of the students have been juniors, seniors, and beginning graduates, from the fields of mathematics, engineering and physics. The only formal prerequisite is calculus, but an additional degree of mathematical maturity ma…